DLMF:13.15.E14 (Q4539)

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DLMF:13.15.E14
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    Defining formula
    ( κ - μ - 1 2 ) ⁢ z ⁢ W κ - 1 2 , μ + 1 2 ⁡ ( z ) - ( z - 2 ⁢ μ ) ⁢ W κ , μ ⁡ ( z ) + z ⁢ W κ + 1 2 , μ - 1 2 ⁡ ( z ) = 0 . 𝜅 𝜇 1 2 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 𝑧 2 𝜇 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle(\kappa-\mu-\tfrac{1}{2})\sqrt{z}W_{\kappa-\frac{1% }{2},\mu+\frac{1}{2}}\left(z\right)-(z-2\mu)W_{\kappa,\mu}\left(z\right)+\sqrt% {z}W_{\kappa+\frac{1}{2},\mu-\frac{1}{2}}\left(z\right)=0.}}
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    DLMF id
    DLMF:13.15.E14
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